5×2-x-50=2(2×2+3)

Apply the distributive property.

5×2-x-50=2(2×2)+2⋅3

Multiply.

Multiply 2 by 2.

5×2-x-50=4×2+2⋅3

Multiply 2 by 3.

5×2-x-50=4×2+6

5×2-x-50=4×2+6

5×2-x-50=4×2+6

Subtract 4×2 from both sides of the equation.

5×2-x-50-4×2=6

Subtract 4×2 from 5×2.

x2-x-50=6

x2-x-50=6

Move 6 to the left side of the equation by subtracting it from both sides.

x2-x-50-6=0

Subtract 6 from -50.

x2-x-56=0

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -56 and whose sum is -1.

-8,7

Write the factored form using these integers.

(x-8)(x+7)=0

(x-8)(x+7)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x-8=0

x+7=0

Set the first factor equal to 0.

x-8=0

Add 8 to both sides of the equation.

x=8

x=8

Set the next factor equal to 0.

x+7=0

Subtract 7 from both sides of the equation.

x=-7

x=-7

The final solution is all the values that make (x-8)(x+7)=0 true.

x=8,-7

Solve Using the Square Root Property 5x^2-x-50=2(2x^2+3)